No, I went to school to learn this cr_p and we were taught that the terminology is:
the LOGOTYPE is comprised of a word or words (real or imaginary) with "distinctive treatment" which makes it unique and therefore can be copyrighted as intellectual property.
This Logotype CAN by accompanied by a symbolic representation which is known as the MARK and the relationship of this MARK (combined WITH as well as displayed STAND-ALONE so WITHOUT) the LOGOTYPE (which also can be displayed as STAND-ALONE) is to be carefully managed by the Design Team by means of the CORPORATE IDENTITY MANUAL which will specify all parameters (size, colors, backgrounds, Dos and Don'ts) for every possible use of this IDENTITY in every imaginable variation
for which the Design Team will charge the CLIENT a nose-bleedingly exorbitant FEE (and not one penny LESS) which will cause the CLIENT to lose their SH_T!
"Logo" is an abbreviated idiomatic expression used informally by the General Public so can be used to describe whatever they want, but if you tried that in Design School...
and don't get me starting on what is meant by "Kerning" versus "Letter-Spacing" or for that matter "Word-Spacing", "Leading" and "Ligatures"...this will all be covered in next semesters lecture series in which we concentrate on TYPOGRAPHY, so don't jump ahead!
oh hang on! I just now remember a term that came into common usage way after I left the Design School "dogmatism" which is:
namely the "Lock-up".
It was how we came to describe a "mark plus logotype" that was "locked" and never to be rent asunder till Death do they Part, unless the Corporate Identity Manual said it's okay.
Just shows to go ya that language, including jargon, can change over time.